Lectures related to Logarithmic Embedding in Number Fields

Explores Hermite-Minkowski theorems in number fields and ideal classes.

Covers the embeddings of number fields and ideal classes with proofs and examples.

Explores embeddings of number fields, types, signatures, lattices, and determinants.

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Covers the relations between the ideal class group and proper fractional ideals.

Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.

Explores the discriminant in matrices, ideal class groups, and optimal embeddings in mathematics.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers the Dedekind function, Euler product formula, series convergence, and analytic continuation of logarithmic functions.

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.

Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.